535465728 has 540 divisors, whose sum is σ = 2030035392. Its totient is φ = 139345920.

The previous prime is 535465727. The next prime is 535465729. The reversal of 535465728 is 827564535.

535465728 is a `hidden beast` number, since 5 + 35 + 46 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (535465727) and next prime (535465729).

Its product of digits (1008000) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535465727) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17273073 + ... + 17273103.

Almost surely, 2^535465728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015017696).

535465728 is an abundant number, since it is smaller than the sum of its proper divisors (1494569664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

535465728 is a wasteful number, since it uses less digits than its factorization.

535465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 535465728 is about 23140.1324110300. The cubic root of 535465728 is about 812.0396334202.

The spelling of 535465728 in words is "five hundred thirty-five million, four hundred sixty-five thousand, seven hundred twenty-eight".